| 无限族k-严格伪压缩映象的强收敛定理 |
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| 引用本文： | 陈延礼,吕春兰.无限族k-严格伪压缩映象的强收敛定理[J].佳木斯大学学报,2009,27(4):598-600. |
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| 作者姓名： | 陈延礼 吕春兰 |
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| 作者单位： | 陈延礼(宜宾学院数学系,宜宾,644007);吕春兰(西南交通大学数学系,成都,610031) |
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| 摘 要： | 在Hilbert空间中,给出了寻求平衡问题解集、变分不等式问题解集以及无限族k-严格伪压缩映象的不动点集的公共点的序列,并在适当的条件下证明了该序列强收敛于其公共点,所得结果推广和改进了已有的相关结果.
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| 关 键 词： | k-严格伪压缩映象 平衡问题 变分不等式 |
Strong Convergence Theorem for a Family of Infinitely k-strict Pseudo-contraction Mappings |
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| CHEN Yan-li,LU Chun-lan.Strong Convergence Theorem for a Family of Infinitely k-strict Pseudo-contraction Mappings[J].Journal of Jiamusi University(Natural Science Edition),2009,27(4):598-600. |
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| Authors: | CHEN Yan-li LU Chun-lan |
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| Institution: | 1.Department of Mathematic;Yibin University;Yibin 644007;China;2.Department of Mathematic;Southwest Jiaotong University;Chengdu 610031;China |
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| Abstract: | A strong convergence theorem for finding the set of solutions of an equilibrium problem and a variational inequality problem,and the set of common fixed point for a family of infinitely k-strict pseudo-contraction mappings in Hilbert spaces was proved.The presented result extended and improved some recent results. |
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| Keywords: | k-strict pseudo-contraction equilibrium problem variational inequality problem |
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